Any pair (E, B) has exactly one algebraic class in the Lorentz algebra Cl(1,3), and that class is an invariant: it survives every change of frame. Slide a boost and watch the vectors swing while the class refuses to move.
β = 0 is the frame you typed. Any other value re-measures the same physical field in a moving frame: E and B both change.
| |E| | — |
|---|---|
| |c·B| | — |
| I₁ = |E|²−|cB|² | — |
| I₂ = E·(cB) | — |
| class margin | — |
| null floor | — |
| reader drift | — |
| rest frame of B | — |
| γ | — |
Sweep of β along the chosen axis. Both curves are normalised to their own maximum over the sweep, so shape is comparable; the numbers below the chart are not normalised.